Mathematical modeling and optimal control approaches for dengue
This research explores a continuous-time mathematical model that outlines the transmission dynamics of the dengue virus across different regions, in-volving both human and mosquito hosts. We propose an optimal strat-egy that includes awareness campaigns, safety measures, and health inter-ventions in...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2025-03-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_46033_d189d456be40e8f42448e6c20de0af73.pdf |
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| author | M. Baroudi H. Gourram M. Alia A. Labzai M. Belam |
| author_facet | M. Baroudi H. Gourram M. Alia A. Labzai M. Belam |
| author_sort | M. Baroudi |
| collection | DOAJ |
| description | This research explores a continuous-time mathematical model that outlines the transmission dynamics of the dengue virus across different regions, in-volving both human and mosquito hosts. We propose an optimal strat-egy that includes awareness campaigns, safety measures, and health inter-ventions in dengue-endemic areas, with the goal of reducing transmission between individuals and mosquitoes, thus lowering human infections and eliminating the virus in mosquito populations. Utilizing the discrete-time Pontryagin’s maximum principle, we identify optimal control measures and employ an iterative approach to solve the optimal system. Numerical sim-ulations are carried out using MATLAB, and a cost-effectiveness ratio is computed. Through an in-depth cost-effectiveness analysis, we highlight the effectiveness of strategies focused on protecting at-risk populations, pre-venting contact between infected humans and mosquitoes, and promoting the use of quarantine facilities as the most powerful methods for controlling the spread of the dengue virus. |
| format | Article |
| id | doaj-art-d4e873d4604b489aa5583129883325bd |
| institution | OA Journals |
| issn | 2423-6977 2423-6969 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj-art-d4e873d4604b489aa5583129883325bd2025-08-20T02:13:39ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692025-03-0115Issue 139642310.22067/ijnao.2024.90023.152946033Mathematical modeling and optimal control approaches for dengueM. Baroudi0H. Gourram1M. Alia2A. Labzai3M. Belam4Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, Morocco.Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, Morocco.Laboratory of Mathematics and Population Dynamics (LMPD), Faculty of Sciences Semlalia-Marrakech (FSSM), Cadi Ayyad University, Morocco.Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, Morocco.Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, Morocco.This research explores a continuous-time mathematical model that outlines the transmission dynamics of the dengue virus across different regions, in-volving both human and mosquito hosts. We propose an optimal strat-egy that includes awareness campaigns, safety measures, and health inter-ventions in dengue-endemic areas, with the goal of reducing transmission between individuals and mosquitoes, thus lowering human infections and eliminating the virus in mosquito populations. Utilizing the discrete-time Pontryagin’s maximum principle, we identify optimal control measures and employ an iterative approach to solve the optimal system. Numerical sim-ulations are carried out using MATLAB, and a cost-effectiveness ratio is computed. Through an in-depth cost-effectiveness analysis, we highlight the effectiveness of strategies focused on protecting at-risk populations, pre-venting contact between infected humans and mosquitoes, and promoting the use of quarantine facilities as the most powerful methods for controlling the spread of the dengue virus.https://ijnao.um.ac.ir/article_46033_d189d456be40e8f42448e6c20de0af73.pdfoptimal controldengue virusspread of dengue |
| spellingShingle | M. Baroudi H. Gourram M. Alia A. Labzai M. Belam Mathematical modeling and optimal control approaches for dengue Iranian Journal of Numerical Analysis and Optimization optimal control dengue virus spread of dengue |
| title | Mathematical modeling and optimal control approaches for dengue |
| title_full | Mathematical modeling and optimal control approaches for dengue |
| title_fullStr | Mathematical modeling and optimal control approaches for dengue |
| title_full_unstemmed | Mathematical modeling and optimal control approaches for dengue |
| title_short | Mathematical modeling and optimal control approaches for dengue |
| title_sort | mathematical modeling and optimal control approaches for dengue |
| topic | optimal control dengue virus spread of dengue |
| url | https://ijnao.um.ac.ir/article_46033_d189d456be40e8f42448e6c20de0af73.pdf |
| work_keys_str_mv | AT mbaroudi mathematicalmodelingandoptimalcontrolapproachesfordengue AT hgourram mathematicalmodelingandoptimalcontrolapproachesfordengue AT malia mathematicalmodelingandoptimalcontrolapproachesfordengue AT alabzai mathematicalmodelingandoptimalcontrolapproachesfordengue AT mbelam mathematicalmodelingandoptimalcontrolapproachesfordengue |